Paper Citation Record · LEDGER

Limit Theory for $N$-Player $\alpha$-Potential Games

As of 13 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2606.09815.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.09815 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T18:08:39.286851Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T18:43:51.451904Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-08T18:43:51.657456Z

Reference resolution

47 of 47 outbound references displayed

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Outbound references

Observation 36c22867-e247-40c2-a8c0-8304cfbfab35 · outbound

This paper cites Potential games.Games and economic behavior, 14(1):124–143, 1996.

Limit Theory for $N$-Player $\alpha$-Potential Games Potential games.Games and economic behavior, 14(1):124–143, 1996

Reference 1

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Observation 71709bd7-dc5b-43eb-8c95-0a7d443a1e0b · outbound

This paper cites Towards an analytical framework for dynamic potential games.

Limit Theory for $N$-Player $\alpha$-Potential Games Towards an analytical framework for dynamic potential games

Reference 2

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Observation f6882273-6d28-4b7a-8e0a-545bee19ee72 · outbound

This paper cites Anα-potential game framework forN-player dynamic games.SIAM Journal on Control and Optimization, 63(4):2964–3005, 2025.

Limit Theory for $N$-Player $\alpha$-Potential Games Anα-potential game framework forN-player dynamic games.SIAM Journal on Control and Optimization, 63(4):2964–3005, 2025

Reference 3

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Observation 651b091a-7c24-4823-b2ed-47840efb6307 · outbound

This paper cites an unresolved cited work.

Limit Theory for $N$-Player $\alpha$-Potential Games Unresolved cited work

Reference 4

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Observation 364b3784-d4b3-41a5-98a2-56c0492e427a · outbound

This paper cites Distributed games with jumps: An $\alpha$-potential game approach.

Limit Theory for $N$-Player $\alpha$-Potential Games Distributed games with jumps: An $\alpha$-potential game approach

Reference 5

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Observation 75dd2f79-b612-4bca-9391-3b4986785f95 · outbound

This paper cites Proceedings of Machine Learning Research vol, 283:1–18, 2025.

Limit Theory for $N$-Player $\alpha$-Potential Games Proceedings of Machine Learning Research vol, 283:1–18, 2025

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T18:08:39.286851Z

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Observation e528b307-8d9e-47c6-8855-d18033a277e6 · outbound

This paper cites Independent Learning of Nash Equilibria in Partially Observable Markov Potential Games with Decoupled Dynamics.

Limit Theory for $N$-Player $\alpha$-Potential Games Independent Learning of Nash Equilibria in Partially Observable Markov Potential Games with Decoupled Dynamics

Reference 7

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Observation cee9a980-ef44-4b49-a8e7-1cb2e71b149a · outbound

This paper cites Potential Games on Unimodular Random Graphs.

Limit Theory for $N$-Player $\alpha$-Potential Games Potential Games on Unimodular Random Graphs

Reference 8

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Observation cd9bdb21-03fa-42e2-b1e7-b3867e78de32 · outbound

This paper cites Springer Cham, 2018.

Limit Theory for $N$-Player $\alpha$-Potential Games Springer Cham, 2018

Reference 9

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Observation f9816198-769a-493c-9fbf-7d165edeb8e2 · outbound

This paper cites Mean field games.Japanese Journal of Mathe- matics, 2(1):229–260, 2007.

Limit Theory for $N$-Player $\alpha$-Potential Games Mean field games.Japanese Journal of Mathe- matics, 2(1):229–260, 2007

Reference 10

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Observation 4bbc2e25-df56-4d14-9a87-44edd51cbbaf · outbound

This paper cites Learning in mean field games: The fictitious play.ESAIM: COCV, 23(2):569–591, 2017.

Limit Theory for $N$-Player $\alpha$-Potential Games Learning in mean field games: The fictitious play.ESAIM: COCV, 23(2):569–591, 2017

Reference 11

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Observation 80445959-7e7e-4a3e-a4d5-ad460d35b47d · outbound

This paper cites Princeton University Press, 2019.

Limit Theory for $N$-Player $\alpha$-Potential Games Princeton University Press, 2019

Reference 12

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Observation f01551d0-e9c2-4735-a51f-658d24996fd1 · outbound

This paper cites Weak solutions to the master equation of potential mean field games.

Limit Theory for $N$-Player $\alpha$-Potential Games Weak solutions to the master equation of potential mean field games

Reference 13

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Observation 3eb47dc9-131d-4556-aa7f-0df5dce160a6 · outbound

This paper cites Jameson Graber.

Limit Theory for $N$-Player $\alpha$-Potential Games Jameson Graber

Reference 14

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Observation c3071c90-82cb-4b61-8e8e-248615ace4ab · outbound

This paper cites Mete Soner.

Limit Theory for $N$-Player $\alpha$-Potential Games Mete Soner

Reference 15

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Observation 09190737-ca39-4df1-af1b-bcd9197d1052 · outbound

This paper cites BSDE Approach for $\alpha$-Potential Stochastic Differential Games.

Limit Theory for $N$-Player $\alpha$-Potential Games BSDE Approach for $\alpha$-Potential Stochastic Differential Games

Reference 16

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Observation 02509834-00fd-4b7c-844d-21365865746f · outbound

This paper cites Extended mean field control problem: a propagation of chaos result.

Limit Theory for $N$-Player $\alpha$-Potential Games Extended mean field control problem: a propagation of chaos result

Reference 17

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Observation ca2b4f49-d6f1-4cce-802c-268b451f2e90 · outbound

This paper cites Mckean–vlasov optimal control: Limit theory and equivalence between different formulations.Mathematics of Operations Research, 47(4):2891–2930, 2022.

Limit Theory for $N$-Player $\alpha$-Potential Games Mckean–vlasov optimal control: Limit theory and equivalence between different formulations.Mathematics of Operations Research, 47(4):2891–2930, 2022

Reference 18

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Observation 1c341e6a-85ac-4b17-9797-25aa3cd84778 · outbound

This paper cites American Mathematical Society, 2011.

Limit Theory for $N$-Player $\alpha$-Potential Games American Mathematical Society, 2011

Reference 19

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Observation 652378a2-d594-49ae-ba58-bcf64172c937 · outbound

This paper cites Springer Cham, 2018.

Limit Theory for $N$-Player $\alpha$-Potential Games Springer Cham, 2018

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T18:08:39.286851Z

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Observation 4342336b-5b4f-49d8-82a0-8f4e20555484 · outbound

This paper cites Springer New York, NY, 2017.

Limit Theory for $N$-Player $\alpha$-Potential Games Springer New York, NY, 2017

Reference 21

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Observation a6df68d9-b06f-4144-b13c-2d123cd87d8b · outbound

This paper cites Limit theory for controlled mckean–vlasov dynamics.SIAM Journal on Control and Optimization, 55(3):1641–1672, 2017.

Limit Theory for $N$-Player $\alpha$-Potential Games Limit theory for controlled mckean–vlasov dynamics.SIAM Journal on Control and Optimization, 55(3):1641–1672, 2017

Reference 22

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Observation 25ab96a3-ae41-49b0-a3f6-1280a1f8d0f9 · outbound

This paper cites Mean field games via controlled martingale problems: Existence of markovian equilibria.Stochastic Processes and their Applications, 125(7):2856–2894, 2015.

Limit Theory for $N$-Player $\alpha$-Potential Games Mean field games via controlled martingale problems: Existence of markovian equilibria.Stochastic Processes and their Applications, 125(7):2856–2894, 2015

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T18:08:39.286851Z

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Observation f1ba92be-e1c1-44ca-87d9-1462cce6f0f2 · outbound

This paper cites A probabilistic weak formulation of mean field games and applications.The Annals of Applied Probability, 25(3):1189 – 1231, 2015.

Limit Theory for $N$-Player $\alpha$-Potential Games A probabilistic weak formulation of mean field games and applications.The Annals of Applied Probability, 25(3):1189 – 1231, 2015

Reference 24

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Observation 02844f6e-b0b7-47bc-bde5-9194650d56c8 · outbound

This paper cites Mean field game of controls and an appli- cation to trade crowding.Mathematics and Financial Economics, 12(3):335–363, 2018.

Limit Theory for $N$-Player $\alpha$-Potential Games Mean field game of controls and an appli- cation to trade crowding.Mathematics and Financial Economics, 12(3):335–363, 2018

Reference 25

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Observation c09b8725-b8e5-4d05-9674-4bf4f52dc5f1 · outbound

This paper cites Convergence of large population games to mean field games with interaction through the controls.SIAM Journal on Mathematical Analysis, 54(3):3535–3574, 2022.

Limit Theory for $N$-Player $\alpha$-Potential Games Convergence of large population games to mean field games with interaction through the controls.SIAM Journal on Mathematical Analysis, 54(3):3535–3574, 2022

Reference 26

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Observation e6aec6a3-dee5-40db-8e5d-e38b9c504bef · outbound

This paper cites Mean field games of controls: On the convergence of Nash equilibria.

Limit Theory for $N$-Player $\alpha$-Potential Games Mean field games of controls: On the convergence of Nash equilibria

Reference 27

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Observation e8301e9b-ffb1-4ced-a990-7cb9897b4f87 · outbound

This paper cites Non-asymptotic convergence rates for mean-field games: weak formulation and mckean–vlasov bsdes.Applied Mathematics & Optimization, 91(3):58, 2025.

Limit Theory for $N$-Player $\alpha$-Potential Games Non-asymptotic convergence rates for mean-field games: weak formulation and mckean–vlasov bsdes.Applied Mathematics & Optimization, 91(3):58, 2025

Reference 28

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Observation 4a3c1904-125b-410b-b247-d606a039611d · outbound

This paper cites Convergence for linear quadratic potential mean field games.arXiv preprint arXiv:2602.14842, 2026.

Limit Theory for $N$-Player $\alpha$-Potential Games Convergence for linear quadratic potential mean field games.arXiv preprint arXiv:2602.14842, 2026

Reference 29

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Observation 5261b644-435d-4d35-a7f1-cf2cc6bc71f2 · outbound

This paper cites On approximate nash equilibria in mean field games.

Limit Theory for $N$-Player $\alpha$-Potential Games On approximate nash equilibria in mean field games

Reference 30

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Observation f9af8418-859e-4232-95ce-666574f41517 · outbound

This paper cites Selection of equilibria in a linear quadratic mean-field game.Stochastic Processes and their Applications, 130(2):1000–1040, 2020.

Limit Theory for $N$-Player $\alpha$-Potential Games Selection of equilibria in a linear quadratic mean-field game.Stochastic Processes and their Applications, 130(2):1000–1040, 2020

Reference 31

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Observation 7c99feca-732a-44af-b281-c5856a708826 · outbound

This paper cites Selection by vanishing common noise for potential finite state mean field games.Communications in Partial Differential Equations, 47(1):89– 168, 2022.

Limit Theory for $N$-Player $\alpha$-Potential Games Selection by vanishing common noise for potential finite state mean field games.Communications in Partial Differential Equations, 47(1):89– 168, 2022

Reference 32

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Observation 7cba1038-d9a3-445f-a997-282939907c96 · outbound

This paper cites Synchronization in a kuramoto mean field game.Communications in Partial Differential Equations, 48(9):1214–1244, 2023.

Limit Theory for $N$-Player $\alpha$-Potential Games Synchronization in a kuramoto mean field game.Communications in Partial Differential Equations, 48(9):1214–1244, 2023

Reference 33

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Observation 11226b35-50a9-490f-ace1-2bc18f7002f1 · outbound

This paper cites A cucker–smale inspired deterministic mean field game with velocity interactions.SIAM Journal on Control and Optimization, 59(6):4155– 4187, 2021.

Limit Theory for $N$-Player $\alpha$-Potential Games A cucker–smale inspired deterministic mean field game with velocity interactions.SIAM Journal on Control and Optimization, 59(6):4155– 4187, 2021

Reference 34

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Observation b3bd712c-9705-4a0b-b4df-258481852455 · outbound

This paper cites Mean-field type modeling of nonlocal crowd aversion in pedestrian crowd dynamics.SIAM Journal on Control and Optimization, 56(1):434–455, 2018.

Limit Theory for $N$-Player $\alpha$-Potential Games Mean-field type modeling of nonlocal crowd aversion in pedestrian crowd dynamics.SIAM Journal on Control and Optimization, 56(1):434–455, 2018

Reference 35

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Observation afe1cf34-6ba0-4a47-b3bd-6c7c581f7ac0 · outbound

This paper cites On a mean field game approach modeling congestion and aversion in pedestrian crowds.Transportation research part B: methodological, 45(10):1572–1589, 2011.

Limit Theory for $N$-Player $\alpha$-Potential Games On a mean field game approach modeling congestion and aversion in pedestrian crowds.Transportation research part B: methodological, 45(10):1572–1589, 2011

Reference 36

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Observation 959e85e4-4392-4c1d-b5ab-c127a4d40a97 · outbound

This paper cites Springer International Publishing, Cham, 2020.

Limit Theory for $N$-Player $\alpha$-Potential Games Springer International Publishing, Cham, 2020

Reference 37

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Observation aebba5c9-0bf6-4b66-9f3f-6aad6b115f54 · outbound

This paper cites Springer Cham, 2021.

Limit Theory for $N$-Player $\alpha$-Potential Games Springer Cham, 2021

Reference 38

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Observation 43796299-a3cd-4de5-9ca2-d69b2fc2d741 · outbound

This paper cites Bertsekas and Steven E.

Limit Theory for $N$-Player $\alpha$-Potential Games Bertsekas and Steven E

Reference 39

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Observation 8865b9aa-d768-42fe-92f9-6702138c2941 · outbound

This paper cites Cambridge Series in Statistical and Prob- abilistic Mathematics.

Limit Theory for $N$-Player $\alpha$-Potential Games Cambridge Series in Statistical and Prob- abilistic Mathematics

Reference 40

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Observation 99a8fc64-23d0-4fa2-8471-b9a667f09234 · outbound

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Limit Theory for $N$-Player $\alpha$-Potential Games Unresolved cited work

Reference 41

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Observation a82c0a2d-3edb-4fc4-8204-0147f948771d · outbound

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Limit Theory for $N$-Player $\alpha$-Potential Games Unresolved cited work

Reference 42

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Observation 694984a8-525b-4e7e-bc6d-0c2efef1b84e · outbound

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Limit Theory for $N$-Player $\alpha$-Potential Games Unresolved cited work

Reference 43

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Observation 53675c08-682e-4abc-a0ce-227e616e81d6 · outbound

This paper cites Proof of Example 3.2.LetX N i :=X uN i i for eachi∈[N].

Limit Theory for $N$-Player $\alpha$-Potential Games Proof of Example 3.2.LetX N i :=X uN i i for eachi∈[N]

Reference 44

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Observation a3977ed4-d971-41c8-b5a7-a07204e18292 · outbound

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Limit Theory for $N$-Player $\alpha$-Potential Games Unresolved cited work

Reference 45

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Observation 66ab8344-b8db-4fdf-ad44-02db458a1f85 · outbound

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Limit Theory for $N$-Player $\alpha$-Potential Games Unresolved cited work

Reference 46

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Observation f237edf6-63be-4a3f-acb8-ce67530e447f · outbound

This paper cites The proof of (3.15) is analogous to that of (3.13).

Limit Theory for $N$-Player $\alpha$-Potential Games The proof of (3.15) is analogous to that of (3.13)

Reference 47

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Pith citing papers

Observation ba2208bc-6b55-4119-ac1d-efb3bdceb52c · inbound

An $\alpha$-Potential Game Approach to $N$-Player Stochastic Linear-Quadratic Differential Games cites this paper.

An $\alpha$-Potential Game Approach to $N$-Player Stochastic Linear-Quadratic Differential Games Limit Theory for $N$-Player $\alpha$-Potential Games

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-08T18:43:51.663509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.